id:A128049 - OEIS Search Results

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Least number k>0 such that (3^k - (3-n)^k)/n is prime, or 0 if no such prime exists.

+0
2

0, 2, 3, 2, 2, 3, 0, 3, 2, 2, 3, 2, 0, 2, 3, 0, 3, 2, 0, 2, 37, 0, 3, 2, 0, 2, 1153, 0, 83, 2, 0, 3, 11, 0, 3, 2, 0, 2, 3, 0, 557, 19, 0, 2, 3, 0, 7, 2, 0, 2, 631, 0, 5, 2, 0, 3, 3, 0, 239, 2, 0, 5, 3, 0, 3, 2, 0, 2, 317, 0, 3, 103, 0, 2, 7, 0, 3, 2, 0, 2, 43, 0, 29, 7, 0, 2, 17, 0, 5, 2, 0, 3, 31, 0 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`a(-n) = A128033(n).` `a(3n) = 0 except a(3) = a(9) = 2.` `All positive terms are primes.`
	CROSSREFS	`Cf. A128033 = Least number k>0 such that ((n+3)^k - 3^k)/n is prime, or 0 if no such prime exists. Cf. A028491 = numbers n such that (3^n - 1)/2 is prime. Cf. A057468 = numbers n such that 3^n - 2^n is prime. Cf. A111010, A015441. Cf. A059801 = numbers n such that 4^n - 3^n is prime. Cf. A121877 = numbers n such that (5^n - 3^n)/2 is a prime. Cf. A128024, A128025, A128026, A128027, A128028, A128029, A128030, A128031, A128032.` `Sequence in context: A103266 A072814 A145390 this_sequence A104543 A054988 A143393` `Adjacent sequences: A128046 A128047 A128048 this_sequence A128050 A128051 A128052`
	KEYWORD	`nonn`
	AUTHOR	`Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 12 2007`

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.

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